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# Copyright 2024 The HuggingFace Inc. team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
def encode_sign_magnitude(value: int, sign_bit_index: int):
"""
https://en.wikipedia.org/wiki/Signed_number_representations#Sign%E2%80%93magnitude
"""
max_magnitude = (1 << sign_bit_index) - 1
magnitude = abs(value)
if magnitude > max_magnitude:
raise ValueError(f"Magnitude {magnitude} exceeds {max_magnitude} (max for {sign_bit_index=})")
direction_bit = 1 if value < 0 else 0
return (direction_bit << sign_bit_index) | magnitude
def decode_sign_magnitude(encoded_value: int, sign_bit_index: int):
"""
https://en.wikipedia.org/wiki/Signed_number_representations#Sign%E2%80%93magnitude
"""
direction_bit = (encoded_value >> sign_bit_index) & 1
magnitude_mask = (1 << sign_bit_index) - 1
magnitude = encoded_value & magnitude_mask
return -magnitude if direction_bit else magnitude
def encode_twos_complement(value: int, n_bytes: int):
"""
https://en.wikipedia.org/wiki/Signed_number_representations#Two%27s_complement
"""
bit_width = n_bytes * 8
min_val = -(1 << (bit_width - 1))
max_val = (1 << (bit_width - 1)) - 1
if not (min_val <= value <= max_val):
raise ValueError(
f"Value {value} out of range for {n_bytes}-byte two's complement: [{min_val}, {max_val}]"
)
if value >= 0:
return value
return (1 << bit_width) + value
def decode_twos_complement(value: int, n_bytes: int) -> int:
"""
https://en.wikipedia.org/wiki/Signed_number_representations#Two%27s_complement
"""
bits = n_bytes * 8
sign_bit = 1 << (bits - 1)
if value & sign_bit:
value -= 1 << bits
return value
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